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Finding the Fourth Proportional to 6,310.88, 9,459.44 and 2,413.60

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Solution

The fourth proportional to 6,310.88, 9,459.44 and 2,413.60 is: 3,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.88 : 9,459.44 = 2,413.60 : x
  2. Step 2: Convert to fraction form
    6,310.88/9,459.44 = 2,413.60/x
  3. Step 3: Cross multiply
    6,310.88x = 9,459.44 × 2,413.60
  4. Step 4: Simplify right side
    6,310.88x = 22,831,304.38
  5. Step 5: Solve for x
    x = 22,831,304.38/6,310.88
  6. Step 6: Final answer
    x = 3,617.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.